Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
5. Circles in the Coordinate Plane
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Exercise 1 Page 800

x^2+y^2=16

Practice makes perfect
Let's start by recalling the standard form of an equation of a circle.

(x- h)^2+(y- k)^2= r^2 In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is ( 0, 0) and its radius is 4. This is enough information to write the equation. (x- 0)^2+(y- 0)^2= 4^2 ⇕ x^2+y^2=16